Question

Tangent lines with zero slope a. Graph the function f(x) = 4 - x². b. Identify the point (a, f(a)) at which the function has a tangent line with zero slope. c. Consider the point (a, f(a)) found in part (b). Is it true that the secant line between (a - h, f(a - h)) and (a + h, f(a + h)) has slope zero for any value of h ? 0?

          Tangent lines with zero slope
a. Graph the function f(x) = 4 - x².
b. Identify the point (a, f(a)) at which the function has a tangent line with zero slope.
c. Consider the point (a, f(a)) found in part (b). Is it true that the secant line between (a - h, f(a - h)) and (a + h, f(a + h)) has slope zero for any value of h ? 0?

Tangent lines with zero slope
a. Graph the function f(x) = 4 - x².
b. Identify the point (a, f(a)) at which the function has a tangent line with zero slope.
c. Consider the point (a, f(a)) found in part (b). Is it true that the secant line between (a - h, f(a - h)) and (a + h, f(a + h)) has slope zero for any value of h ? 0?

Added by Remedios A.

Calculus: Early Transcendentals

James Stewart 8th Edition

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Tangent lines with zero slope a. Graph the function f(x) = 4 - x². b. Identify the point (a, f(a)) at which the function has a tangent line with zero slope. c. Consider the point (a, f(a)) found in part (b). Is it true that the secant line between (a - h, f(a - h)) and (a + h, f(a + h)) has slope zero for any value of h ≠ 0?